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Finding the Fourth Proportional to 32,089.18, 48,093.68 and 15,446.12

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Solution

The fourth proportional to 32,089.18, 48,093.68 and 15,446.12 is: 23,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.18 : 48,093.68 = 15,446.12 : x
  2. Step 2: Convert to fraction form
    32,089.18/48,093.68 = 15,446.12/x
  3. Step 3: Cross multiply
    32,089.18x = 48,093.68 × 15,446.12
  4. Step 4: Simplify right side
    32,089.18x = 742,860,752.52
  5. Step 5: Solve for x
    x = 742,860,752.52/32,089.18
  6. Step 6: Final answer
    x = 23,149.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.